Solve the problem in simplest form and complete solution. Find u and du if possible. coss 2x dx | sin? 2x

Q: Find the following antiderivatives. a. ∫(3x^4-cosx)dx b. ∫(5^3sqrt(x^2) + 2x-1)dx c. ∫((1/x^3)+5)...

A: ∫xn dx = xn+1n+1+C. ∫ax dx = axloga+C

Q: Use Ay f'(x)Ax to find a decimal approximation of the radical expression. 7.7 What is the value foun...

A: NOTE: Refresh your page if you can't see any equations. . here we have a cube root function so we w...

Q: What is the shortest distance between a chord with length of 12 units and center of a circle with eq...

A: As per the guidelines I am supposed to do the first question among multiple questions. To get the an...

Q: 3. Let ø(x) be a solution to the initial value problem: y" + 2y' + 5y = 0; y(0) = 0, y'(0) = 4. Let ...

A: We need to find ratio of solution of D.E.

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: topic - vectors 

Q: The graph of the following function has two slant asymptotes. y = v 25 + 16x2 Find the equation of e...

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Q: c. Given f(x)= /x+1 and g(x)= x² + 4x, find :)(x) and write the domain of )(x) in interval notation....

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Q: A particle moves on a straight line with velocity function v(t) = sin ot cos' at. Find the position ...

A: integration

Q: 3 Let f be a function with third derivative f (x) = (4x + 1) 7. What is the coefficient of (x – 2)* ...

A: Explanation of the answer is as follows

Q: Solve the recurrence: an= 2an-1+ 4n-1, ao=1

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Q: Consider the following. u = 6i – j - k, v = -i + 5j + 3k | (a) Find the projection of u onto v. (b) ...

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: 45. s 2 2 sin t -

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Q: 9. The radius of a large balloon is increasing at a rate of 2 inches per second. How fast, in cubic ...

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Q: A circle is defined by x + y = 9. The area bounded by circle and y-axis on quadrant II and III is re...

A: The center of the circle is (0,0). And it is symmetrical to the origin. The portion on quadrant II a...

Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the volume ...

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Q: 5. * S csc°x cot?x de cotx 2 cot x cot'x + c cot*x cot x cot x 3 cot x cotx cot'x cotx 2 cot x cot'x...

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Q: The graph of f is shown below on the TY-plane. Explain why y = 0.8(r – 1) +0.4(x – 1)² + 0.1(r – 1)3...

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Q: Let f(x) =  radical 4x^2+3x+5 f'(x) f'(1)

A: To find out f'(1). 

Q: (a) Find the differential dy of y= /4+ 5x. (b) Evaluate dy for æ = 0, dx = .04. (a) dy dx (b) dy =

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Q: 1. Calculate the area enclosed by the line y 2x + 3, the x-axis, and the lines x 1 and x- 3.

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = x3 ...

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Q: Find the volume of the solid obtained by rotating the region bounded by y= 2 andy = = 2x about the l...

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Q: Mr Lim's monthly salary is $2500. Every month, he spends a certain amount of money and saves the res...

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Q: dy There is no need to simplify. dx 2. Find cos-(sin x) – sech(tan-1 x) ecosh z a. y=

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Q: A telephone line hangs betweenn two poles at 12 m apart. In the shape of the catenary y = 50 cosh -4...

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x/x2+1 , [...

A: Given f(x) = x/x2+1 , [0, 3] Find the absolute maximum and absolute minimum values of f on the given...

Q: ....... Find the point of intersection of the line through (1, -3, 1) and (3, -12, 6), and the plane...

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Q: consider the differential equation dy/dx=sinx/y, for which the solution is y=f(x). Let f(0)=1. Which...

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Q: .. Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not...

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Q: The sequence that begins 3, 3, 6, 9, 15, 24, ... could be O a geometric sequence. a Fibonacci sequen...

A: Topic = Sequence This Sequence could be a Fibonacci sequence.

Q: Suppose that R1 = 7.71 + 0.83t and R2 7.71 + 0.43t model the revenue (in %3D billions of dollars) fo...

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Q: Evaluate the integal pastial fraction decomposition 56

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Q: If 5æ? + 3x + xy = 1 and y(1) = -7, find y'(1) by implicit differentiation. y(1) =

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Q: Assume that 6% of the sixth graders and 3% of the fifth graders participate in Math Olympiad. There ...

A: 1st question is based on percentage application and second is on formula  (a+b)(a-b) = (a2-b2)

Q: 3sin-1x, if -1< x< 0 f(x) = x2+ Tt if x20 x+cosx'

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Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = 3 and...

A: Given query is to find the formula for polynomial p(x).

Q: .... Find a set of parametric equations of the line with the given characteristics. (Enter your answ...

A: Given:      Point: ( 1 , 2 , 3 )    Parellel to xz - plane     Parellel to yz - plane

Q: 3a + 4b = ( lal =

A: The objective is to solve the above question.

Q: i) 4x + 256x²-8x-512 = 0 ii) (x+5)² -35 =29

A: i) 4x3+256x2-8x-512=0dividing by 4 O.B.Sx3+64x2-2x-128=0x2(x+64)-2(x+64)=0(x2-2)(x+64)=0(x2-22)(x+64...

Q: En=2 (x + 7)" 2" 3/ 2 - 1 n

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Q: During the first couple weeks of a new flu outbreak, the disease spreads according to the equation I...

A: We have to find the rate at which the infected population is growing after 10 days.

Q: let z- 5 dy By chain Ruie

A: Given z = √x dy/dx = (1/2√x)•(dy/dz) We have to find d2y/dx2 .  

Q: Select the basic integration formula you can use to find the indefinite integral. 6. dt du Va? - u? ...

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Q: x + y + z = 1 x² + y² + z² = 2 x3 + y3 + z³ = 3 x5 + y5 + z5 = ?

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Q: Given the following System of Differential Equations and its Eigenvalues and Eigenvectors 1 2 has Ei...

A: From the given options  Option (B) closely define the differential equation for given system because...

Q: Determine where the function is (a) increasing: (b) decreasing and (c) determine where relative extr...

A: We have to find the monotone intervals, relative extrema.

Q: 3.4 +3.198

A: Consider   

Q: X - 5 dx -2x + 2

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Q: 10 Find the average value of the function ƒ (x) = from x = 7 to x = 9. Write X-5 %3D your answer as ...

A: Given function f(x)=10x-5    ,   x=7 to x=9

Q: 9. Let a be a positive value. State the integral test, and use this to determine whether ). -an e n=...

A: